306849312 has 288 divisors, whose sum is σ = 1106711424. Its totient is φ = 78336000.

The previous prime is 306849299. The next prime is 306849329. The reversal of 306849312 is 213948603.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2239708 + ... + 2239844.

It is an arithmetic number, because the mean of its divisors is an integer number (3842748).

Almost surely, 2^306849312 is an apocalyptic number.

306849312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306849312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553355712).

306849312 is an abundant number, since it is smaller than the sum of its proper divisors (799862112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

306849312 is a wasteful number, since it uses less digits than its factorization.

306849312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 306849312 is about 17517.1148309303. The cubic root of 306849312 is about 674.4892795182.

The spelling of 306849312 in words is "three hundred six million, eight hundred forty-nine thousand, three hundred twelve".